A white Gaussian noise process N(t) with power spectral density of 10-15 W/Hz is the input to the lowpass filter H( f ) = 106e-106| f | . Find the following properties of the output Y(t):
(a) The expected value µY
(b) The power spectral density SY ( f )
(c) The average power E[Y2(t)]
(d) P[Y(t) > 0.01]